Question

Using the diagram shown, solve for x. Show your work.

Answer 1

Answer: x = 27.5

Explanation:

The angles of a triangle add up to 180°.

Given the angles, set them equal to 180

2x - 5 + 3x + 20 + 2x = 180

Simplify the equation

2x - 5 + 2x + 20 + 2x = 180

6x + 15 = 180

Solve for x

6x + 15 = 180

- 15 -15

6x = 165

divide both sides by 6

x = 27.5

Answer 2

9514 1404 393

Answer:

x = (23 4/7)°

Explanation:

The sum of angles in a triangle is 180°.

(3x+20°) +(2x -5°) +2x = 180°

7x +15° = 180°

7x = 165° . . . . . . . . subtract 15°

x = 23 4/7° . . . . . . divide by 7

_____

Check

3x +20° = 90 5/7°

2x-5° = 42 1/7°

2x = 47 1/7°

The total is 179 7/7° = 180°, as required.